GCD of 189, 307, 992, 748 Calculator

Given Input numbers are 189, 307, 992, 748

In the factoring method, we have to find the divisors of all numbers

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (189, 307, 992, 748) = 1.

Given numbers are 189, 307, 992, 748

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 307 are 307

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 748 are 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 189, 307, 992, 748

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(189, 307) = 58023

GCD(189, 307) = ( 189 x 307 ) / 58023

= 189 / 307

= 189

Step2:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 189, 307, 992, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 240, 974, 392
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• GCD of 765, 923, 852, 676
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• GCD of 954, 311, 824, 340

Given numbers are 189, 307, 992, 748
The greatest common divisor of numbers 189, 307, 992, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 307, 992, 748 is 1.

1. What is the GCD of 189, 307, 992, 748?

GCD of given numbers 189, 307, 992, 748 is 1

2. How to calculate the greatest common divisor of 189, 307, 992, 748?

We can find the highest common divisor of 189, 307, 992, 748 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 189, 307, 992, 748 i.e 1.

3. How can I use the GCD of 189, 307, 992, 748Calculator?

Out the numbers 189, 307, 992, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.